(5,12) lies on y=g(x) transformed function y=g(9x-6)+7, point on new graph (n,19)
(5, 12) on y = g(x) means 12 = g(5) ...(1)
(n, 19) on y = g(9x-6)+7 means 19 = g(9n-6)+7 ...(2)
Subtract 7 from both sides of (2) to get 12 = g(9n-6) ...(3)
Compare (1) and (3). Clearly 5 = 9n - 6, so n = 11/9
Thank you !